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Asymptotic completeness forN-body short-range quantum systems: A new proof

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Abstract

We give an alternative geometrical proof of asymptotic completeness for an arbitrary number of quantum particles interacting through shortrange pair potentials. It relies on an estimate showing that the intercluster motion concentrates asymptotically on classical trajectories.

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Communicated by B. Simon

Dedicated to Res Jost and Arthur Wightman

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Graf, G.M. Asymptotic completeness forN-body short-range quantum systems: A new proof. Commun.Math. Phys. 132, 73–101 (1990). https://doi.org/10.1007/BF02278000

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